单位球上βP空间到Zα型空间的加权Cesàro算子(Extended Cesàro operators from βP spaces to Zα spaces on the unit ball)

Abstract

Boundary and compact of extended Cesàro operators from βP spaces to Zygmund type space in the unit ball are studied. With the methods of functional analysis and several complex variables, the necessary and sufficient conditions are given for extended Cesàro operators to be bounded and compact from βP spaces to Zygmund type space in the unit ball.

Keywords

• βp spaces
• zα spaces
• extended cesàro operators
• boundedness
• compactness